1 Healthy and sustainable diets that meet GHGE reduction targets and are 1 affordable for different income groups in the UK. 2 C J Reynolds 1 , G W Horgan 2 , S Whybrow 1 , J I Macdiarmid 1 3 1 The Rowett Institute, University of Aberdeen, AB25 2ZD, 4 2 Biomathematics & Statistics Scotland, Aberdeen, AB25 2ZD 5 Corresponding author 6 Jennie I Macdiarmid, The Rowett Institute, University of Aberdeen, AB25 2ZD, 7 j.macdiarmid@abdn.ac.uk Phone +44 (0)1224 437125, Fax: +44 (0)1224 550925 8 A shortened version of the title: Healthy sustainable diets for UK incomes 9 At least four keywords or phrases (each containing up to three words). 10 Income 11 Greenhouse gas emissions 12 Affordable diets 13 Linear programming 14 Healthy sustainable diets 15 Acknowledgments 16 We thank Amandine Perrin and Hubert Ehlert for their help writing some of the early linear 17 programming code. 18 Financial Support 19 This study was funded by the Scottish Government's Rural and Environment Science and Analytical 20 Services Division (RESAS) 21 Conflict of Interest 22 There are no conflicts of interest. 23 Authorship 24 JM, GH formatted the research questions, CR, JM, SW, and GH contributed to the study design and 25 analysis. CR and JM drafted the manuscript. CR had primary responsibility for the final content. All 26 authors contributed to the final version and read and approved the final manuscript. 27 Ethical Standards Disclosure: NA 28